TSTP Solution File: SET148+3 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET148+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 05:07:51 EDT 2022

% Result   : Theorem 0.18s 0.49s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    4 (   3 unt;   0 nHn;   3 RR)
%            Number of literals    :    5 (   2 equ;   2 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ subset(X,Y)
    | intersection(X,Y) = X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_intersection) ).

cnf(9,axiom,
    subset(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_of_subset) ).

cnf(13,negated_conjecture,
    intersection('SKOLEMAAAV3','SKOLEMAAAV3') != 'SKOLEMAAAV3',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_idempotency_of_intersection) ).

cnf(14,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[1,9,13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET148+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n004.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jul  9 22:09:52 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46  * 
% 0.18/0.46  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T22:09:52
% 0.18/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-09T22:09:52
% 0.18/0.48  
% 0.18/0.48  ; Recognized commutativity assertion (= (|intersection| ?X ?Y) (|intersection| ?Y ?X)).
% 0.18/0.49  ; Declaring intersection to be commutative.
% 0.18/0.49  
% 0.18/0.49  #||
% 0.18/0.49  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.49  % SZS output start Refutation
% See solution above
% 0.18/0.49  ||#
% 0.18/0.49  
% 0.18/0.49  ; Summary of computation:
% 0.18/0.49  ;        23 formulas have been input or derived (from 5 formulas).
% 0.18/0.49  ;        14 (61%) were retained.  Of these,
% 0.18/0.49  ;           14 (100%) are still being kept.
% 0.18/0.49  ; 
% 0.18/0.49  ; Run time in seconds excluding printing time:
% 0.18/0.49  ;     0.002   7%   Read assertion file          (1 call)
% 0.18/0.49  ;     0.000   0%   Assert                       (8 calls)
% 0.18/0.49  ;     0.002   7%   Process new row              (19 calls)
% 0.18/0.49  ;     0.000   0%   Resolution                   (8 calls)
% 0.18/0.49  ;     0.000   0%   Paramodulation               (4 calls)
% 0.18/0.49  ;     0.000   0%   Condensing                   (14 calls)
% 0.18/0.49  ;     0.000   0%   Forward subsumption          (14 calls)
% 0.18/0.49  ;     0.000   0%   Backward subsumption         (11 calls)
% 0.18/0.49  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 0.18/0.49  ;     0.000   0%   Forward simplification       (19 calls)
% 0.18/0.49  ;     0.000   0%   Backward simplification      (14 calls)
% 0.18/0.49  ;     0.000   0%   Ordering                     (6 calls)
% 0.18/0.49  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.49  ;     0.000   0%   Purity testing               (1 call)
% 0.18/0.49  ;     0.023  85%   Other
% 0.18/0.49  ;     0.027        Total
% 0.18/0.49  ;     0.028        Real time
% 0.18/0.49  ; 
% 0.18/0.49  ; Term-hash-array has 20 terms in all.
% 0.18/0.49  ; Feature-vector-row-index has 11 entries (11 at peak, 11 added, 0 deleted).
% 0.18/0.49  ; Feature-vector-row-index has 28 nodes (28 at peak, 28 added, 0 deleted).
% 0.18/0.49  ;  Retrieved 3 possibly forward subsuming rows in 14 calls.
% 0.18/0.49  ;  Retrieved 0 possibly backward subsumed rows in 11 calls.
% 0.18/0.49  ; Path-index has 21 entries (21 at peak, 21 added, 0 deleted).
% 0.18/0.49  ; Path-index has 43 nodes (43 at peak, 43 added, 0 deleted).
% 0.18/0.49  ; Trie-index has 21 entries (21 at peak, 21 added, 0 deleted).
% 0.18/0.49  ; Trie-index has 40 nodes (40 at peak, 40 added, 0 deleted).
% 0.18/0.49  ; Retrieved 1 generalization term in 1 call.
% 0.18/0.49  ; Retrieved 4 instance terms in 2 calls.
% 0.18/0.49  ; Retrieved 28 unifiable terms in 16 calls.
% 0.18/0.49  ; 
% 0.18/0.49  ; The agenda of rows to process has 2 entries:
% 0.18/0.49  ;     1 with value 5               1 with value 8
% 0.18/0.49  ; The agenda of input rows to give has 9 entries:
% 0.18/0.49  ;     3 with value 11              1 with value 15               2 with value 18
% 0.18/0.49  ;     3 with value 12
% 0.18/0.49  Evaluation took:
% 0.18/0.49    0.028 seconds of real time
% 0.18/0.49    0.026056 seconds of user run time
% 0.18/0.49    0.002876 seconds of system run time
% 0.18/0.49    0 calls to %EVAL
% 0.18/0.49    0 page faults and
% 0.18/0.49    1,477,584 bytes consed.
% 0.18/0.49  :PROOF-FOUND
% 0.18/0.49  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T22:09:52
% 0.18/0.49  :PROOF-FOUND
% 0.18/0.49  * 
%------------------------------------------------------------------------------